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Subnormality and generalized commutation relations

Published online by Cambridge University Press:  18 May 2009

Jerzy Bartłomiej Stochel
Affiliation:
Fachbereich Mathematik, der Johann Wolfang Goethe Universität, Robert-Mayer-Strage 6–10, Postfach 11 19 32, 6000 frankfurt am Main 11, Federal Republik of Germany
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In the theory of Hilbert space operators an important question is whether an operator is subnormal [3], [4], [7], [8]. A densely defined linear operator S in a complex Hilbert space H is subnormal if there exists a normal operator N in a complex Hilbert space K ⊃ H such that S ⊂ N.

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1988